![[The University of Leicester]](unilogo.gif)
Ruslan L Davidchack
Senior Lecturer in Applied Mathematics
 |
|
Research
My research interests are in developing computational methods and tools for applications in molecular simulations, nonlinear dynamics, and signal processing.
- Molecular simulation
- Structural and dynamic properties of solid-liquid interfaces
- Calculating free energy of solid-liquid interfaces
- Estimating thermodynamic errors of numerical integrators for molecular dynamics
- Nonlinear dynamics
- Methods for locating unstable periodic orbits in chaotic dynamical systems
- Symbolic dynamics, generating partitions, and homoclinic tangencies in non-hyperbolic chaotic systems
- Transition to chaos with multiple positive Lyapunov exponents (sometimes called "hyper-chaos")
- Chaotic transitions in semiconductor lasers subject to delayed optical feedback
- Measurements and data processing
- Analog representation of a measurement process
- Implementation of nonlinear filters for continuous measurement processes
Selected Papers
- On the State Space Geometry of the Kuramoto–Sivashinsky Flow in a Periodic Domain
- Predrag Cvitanović, Ruslan L. Davidchack, and Evangelos Siminos, SIAM J. Appl. Dyn. Syst. 9, 1-33 (2010).
- Langevin thermostat for rigid body dynamics
- Ruslan L. Davidchack, Richard Handel, and M. V. Tretyakov, J. Chem. Phys. 130, 234101 (2009). Cover image
- Direct Calculation of Solid-Liquid Interfacial Free Energy for Molecular Systems: TIP4P Ice-Water Interface
- Richard Handel, Ruslan L. Davidchack, Jamshed Anwar, and Andrey Brukhno, Phys. Rev. Lett. 100, 036104 (2008).
- Crystal structure and interaction dependence of the crystal-melt interfacial free energy
- Ruslan L. Davidchack and Brian B. Laird, Phys. Rev. Lett. 94, 086102 (2005).
- Signal analysis through analog representation
- Alexei V. Nikitin and Ruslan L. Davidchack, Proc. Roy. Soc. Lond. A 459, 1171-1192 (2003).
- Direct calculation of the hard-sphere crystal/melt interfacial free energy
- Ruslan L. Davidchack and Brian B. Laird, Phys. Rev. Lett. 85, 4751-4754 (2000).
- Chaotic transitions and low frequency fluctuations in semiconductor lasers with optical feedback
- Ruslan L. Davidchack, Ying-Cheng Lai, Athanasios Gavrielides, and Vassilios Kovanis, Physica D 145, 130-143 (2000).
- Efficient algorithm for detecting unstable periodic orbits in chaotic systems
- Ruslan L. Davidchack and Ying-Cheng Lai, Phys. Rev. E 60, 6172-6175 (1999).
- Estimating generating partitions of chaotic systems by unstable periodic orbits
- Ruslan L. Davidchack, Ying-Cheng Lai, Erik M. Bollt, and Mukeshwar Dhamala, Phys. Rev. E 61, 1353-1356 (2000).
